I had the same problem. 'Error1606: Unable to access network location :.' while installing JRE 7.x.
I did the following:
1. Ran Microsoft FixIt utility and chose to resolve the problem by self (2nd option).
2. Kept following the instructions and it asked to uninstall and chose to go ahead.
3. Ran the latest JRE offline installer once again and it worked like a charm.
May be some lag in the offline installer to update while could do a clean install without a problem. This worked for me while i was apprehensive to uninstall but did it anyways and it worked. Just wanted to share as it MAY work for others too who are facing the same error.